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%I #4 Jan 13 2015 21:27:20
%S 512,2908,2908,14096,22284,14096,66144,162604,162604,66144,299472,
%T 1143216,1876256,1143216,299472,1303600,7346584,19600428,19600428,
%U 7346584,1303600,5525648,45394736,185592928,300044272,185592928,45394736
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically
%C Table starts
%C .....512......2908.......14096........66144.........299472..........1303600
%C ....2908.....22284......162604......1143216........7346584.........45394736
%C ...14096....162604.....1876256.....19600428......185592928.......1701188284
%C ...66144...1143216....19600428....300044272.....4147335800......55154148308
%C ..299472...7346584...185592928...4147335800....83428823136....1622625002976
%C .1303600..45394736..1701188284..55154148308..1622625002976...46476504760232
%C .5525648.275822532.15314952024.715315448772.30656386352160.1288757443440100
%H R. H. Hardin, <a href="/A253801/b253801.txt">Table of n, a(n) for n = 1..178</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 26]
%F k=2: [order 53] for n>65
%e Some solutions for n=2 k=4
%e ..1..1..0..0..0..1....0..0..1..0..0..0....1..1..0..0..0..1....0..0..1..0..0..0
%e ..0..0..1..1..0..0....1..0..0..1..0..0....0..0..0..1..0..0....1..0..0..1..0..1
%e ..0..1..1..1..1..1....0..0..0..0..1..1....0..0..0..1..1..1....1..1..0..1..1..1
%e ..1..0..1..1..0..0....0..1..0..0..1..1....1..0..1..1..0..0....1..1..1..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 13 2015
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